Cremona's table of elliptic curves

44352 = 2⁶ · 3² · 7 · 11

Field	Data	Notes
Atkin-Lehner	2- 3- 7+ 11-	Signs for the Atkin-Lehner involutions
Conductor	44352	Conductor
Count	6	Number of curves in isogeny class
Curves	44352ea1 44352ea2 44352ea3 44352ea4 44352ea5 44352ea6	Curves in isogeny class
deg	81920	Modular degree for the optimal curve
Eigenvalues	2- 3- -2 7+ 11- -6 -2  4	Hecke eigenvalues for primes less than 20
L	8.1619239634099	L(r)(E,1)/r!
r	2	Rank of the group of rational points
Twists	44352cf 11088bh 14784br	Quadratic twists by: -4 8 -3

Hecke Eigenvalues for isogeny class 44352ea

a2	a3	a5	a7	a11	a13	a17	a19	a23	a29	a31	a37	a41	a43	a47	a53	a59	a61	a67	a71	a73	a79	a83	a89	a97
-	-	-2	+	-	-6	-2	4	0	-2	-8	-6	-10	-4	-8	6	-4	10	-12	0	2	-16	-4	-18	2

---

Quadratic twists for isogeny class 44352ea

-4	8	-3
44352cf	11088bh	14784br

---

Data from Elliptic Curve Data by J. E. Cremona.
Design inspired by The Modular Forms Explorer by William Stein.

Part of Computational Number Theory
Back to Tables and computations